Multiplication and Division of Decimals

Lesson 22

Math

Unit 6

5th Grade

Lesson 22 of 24

Objective


Express measurements in a whole number of smaller units in terms of a larger unit.

Common Core Standards


Core Standards

  • 5.MD.A.1 — Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Foundational Standards

  • 4.MD.A.1

Criteria for Success


  1. Convert from smaller whole-number units to larger ones, including decimal units (e.g., 6,700 grams is how many kilograms?). 
  2. Convert from smaller whole-number units to larger ones, including fractional units (e.g., 18 ounces is how many pounds?). 

Tips for Teachers


Lesson Materials

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Anchor Tasks


Problem 1

Fill in the blanks to make the following statements true.

a.   9,000 mL = ________ L

b.   36,000 cm = _________ m

c.   4 mm = _________ cm

d.   58 mm = ___________ cm

e.   67,000 mg = _________ kg

Guiding Questions

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Problem 2

Fill in the blanks to make the following statements true.

a.   36 in = ________ ft

b.   8 oz = ________ lb

c.   190 min = ________ hr

d.   34 c = ________ gal

Guiding Questions

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Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • How did you find the two correct answers in #1?
  • In #5, were there any potential answers that you could rule out without even needing to do the conversions? How? Did you solve by converting the various measurements in the table to gallons in the table or converting 60 gallons to quarts? Would either strategy work?

Target Task


Problem 1

Convert pints to gallons.

18 pints = ___________ gallons

Problem 2

Convert millimeters to kilometers.

140,000 millimeters = ___________ kilometers

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

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Lesson 21

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Lesson 23

Lesson Map

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Topic A: Multiplying Decimals

Topic B: Dividing Decimals

Topic C: Decimal Expressions and Real-World Problems

Topic D: Measurement Conversion and Real-World Problems

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